22120012222002 has 160 divisors (see below), whose sum is σ = 51898140201600. Its totient is φ = 7033000649472.

The previous prime is 22120012221991. The next prime is 22120012222051. The reversal of 22120012222002 is 20022221002122.

22120012222002 is a `hidden beast` number, since 221 + 20 + 0 + 1 + 222 + 200 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 127797774 + ... + 127970742.

It is an arithmetic number, because the mean of its divisors is an integer number (324363376260).

Almost surely, 2^{22120012222002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120012222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25949070100800).

22120012222002 is an abundant number, since it is smaller than the sum of its proper divisors (29778127979598).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22120012222002 is a wasteful number, since it uses less digits than its factorization.

22120012222002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173342 (or 173333 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22120012222002 its reverse (20022221002122), we get a palindrome (42142233224124).

The spelling of 22120012222002 in words is "twenty-two trillion, one hundred twenty billion, twelve million, two hundred twenty-two thousand, two".